Statistics on Graphs, Exponential Formula and Combinatorial PhysicsReport as inadecuate

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1 LIPN - Laboratoire d-Informatique de Paris-Nord 2 LPTL - Laboratoire de Physique Théorique des Liquides

Abstract : The concern of this paper is a famous combinatorial formula known under the name ``exponential formula-. It occurs quite naturally in many contexts physics, mathematics, computer science. Roughly speaking, it expresses that the exponential generating function of a whole structure is equal to the exponential of those of connected substructures. Keeping this descriptive statement as a guideline, we develop a general framework to handle many different situations in which the exponential formula can be applied.

Keywords : Experimental mathematics Combinatorial physics Exponential generating function Partial semigroup Experimental mathematics.

Author: L. Poinsot - G. H. E. Duchamp - S. Goodenough - K. A. Penson -



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